Pith Number

pith:2A6HUXNP

pith:2010:2A6HUXNPB64JMMYBCGODFG5OUF

not attested not anchored not stored refs pending

Hitting times of Bessel processes

Jacek Malecki, Michal Ryznar, Tomasz Byczkowski

arxiv:1009.3513 v2 · 2010-09-17 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2A6HUXNPB64JMMYBCGODFG5OUF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:20:24.934461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d03c7a5daf0fb8963301119c329baea16b43816dcdab3a4a968dd9e46b59447f

Aliases

arxiv: 1009.3513 · arxiv_version: 1009.3513v2 · doi: 10.48550/arxiv.1009.3513 · pith_short_12: 2A6HUXNPB64J · pith_short_16: 2A6HUXNPB64JMMYB · pith_short_8: 2A6HUXNP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2A6HUXNPB64JMMYBCGODFG5OUF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d03c7a5daf0fb8963301119c329baea16b43816dcdab3a4a968dd9e46b59447f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c8f275c0d3941e2ab3db5852ac10d0d793b20f139819083369dd88cda23486",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-17T21:20:26Z",
    "title_canon_sha256": "5711cc6689a953a7f0ac8da51936a1f711a355bd68ab8dd081314db124b40c1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3513",
    "kind": "arxiv",
    "version": 2
  }
}